# How do you solve #2x²-x+8=0#?

##### 3 Answers

See a solution process below:

#### Explanation:

We can use the quadratic equation to solve this problem:

The quadratic formula states:

For

Substituting:

The square root of -1 or

Substituting gives the solution set as;

No real roots

#### Explanation:

Use the improved quadratic formula (Socratic, Google Search).

Since D < 0, there are no real roots.

There are 2 complex roots:

See below..

#### Explanation:

Let's complete the square:

No real roots as negative square root, although you could use